# Carroll symmetry in gravity and string theory

### APA

(2022). Carroll symmetry in gravity and string theory. Perimeter Institute. https://pirsa.org/22100039

### MLA

Carroll symmetry in gravity and string theory. Perimeter Institute, Oct. 04, 2022, https://pirsa.org/22100039

### BibTex

@misc{ pirsa_PIRSA:22100039, doi = {10.48660/22100039}, url = {https://pirsa.org/22100039}, author = {}, keywords = {Quantum Gravity}, language = {en}, title = {Carroll symmetry in gravity and string theory}, publisher = {Perimeter Institute}, year = {2022}, month = {oct}, note = {PIRSA:22100039 see, \url{https://pirsa.org}} }

Niels Obers

**Collection**

Talk Type

**Subject**

Abstract

I will discuss the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. The leading order in the expansion leads to an action that corresponds to the electric Carroll limit of general relativity, of which I will highlight some interesting properties. The next-to-leading order will also be obtained, which exhibits a particular subsector that correspond to the magnetic Carroll limit, which features a solution that describes the Carroll limit of a Schwarzschild black hole. The incorporation of a cosmological constant in the Carroll (or ultra-local) expansion will also be commented on. Finally, I will describe how Carroll symmetry and geometry arises on the world-sheet of certain limits of string theory sigma models.